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Finding the Fourth Proportional to 6,803.50, 9,389.37 and 4,009.54

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Solution

The fourth proportional to 6,803.50, 9,389.37 and 4,009.54 is: 5,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.50 : 9,389.37 = 4,009.54 : x
  2. Step 2: Convert to fraction form
    6,803.50/9,389.37 = 4,009.54/x
  3. Step 3: Cross multiply
    6,803.50x = 9,389.37 × 4,009.54
  4. Step 4: Simplify right side
    6,803.50x = 37,647,054.59
  5. Step 5: Solve for x
    x = 37,647,054.59/6,803.50
  6. Step 6: Final answer
    x = 5,533.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.